Prime p₀= 2739105925398311669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Roadranner
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2739102455346834713	0 14 24 36 44 174 206 224 246 264 296 426 434 446 456 470	-3470051476956
STPT(10)	2739102755110510421	0 2 6 8 48 50 90 92 96 98	-3170287801248
STPT(10)	2739102822340958387	0 2 30 32 72 74 114 116 144 146	-3103057353282
SPT(16)	2739104801253275843	0 26 56 110 114 150 156 180 194 218 224 260 264 318 348 374	-1124145035826
STPT(10)	2739105087458614541	0 2 6 8 18 20 30 32 36 38	-837939697128
SPT(16)	2739105834173448281	0 12 42 50 66 68 120 152 246 278 330 332 348 356 386 398	-91224863388
SPT(16)	2739106389342664309	0 30 78 100 112 132 178 220 222 264 310 330 342 364 412 442	463944352640
STPT(10)	2739106721093803127	0 2 12 14 42 44 72 74 84 86	795695491458
STPT(10)	2739107061442575557	0 2 30 32 42 44 54 56 84 86	1136044263888
SPT(16)	2739107191918515023	0 50 60 68 86 90 126 146 168 188 224 228 246 254 264 314	1266520203354
TPT(14)	2739107216359090229	0 2 30 32 72 74 90 92 102 104 162 164 210 212	1290960778560